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Simplifying 3(4x + -1(3x + 3) + 4) = 2x + 5 Reorder the terms: 3(4x + -1(3 + 3x) + 4) = 2x + 5 3(4x + (3 * -1 + 3x * -1) + 4) = 2x + 5 3(4x + (-3 + -3x) + 4) = 2x + 5 Reorder the terms: 3(-3 + 4 + 4x + -3x) = 2x + 5 Combine like terms: -3 + 4 = 1 3(1 + 4x + -3x) = 2x + 5 Combine like terms: 4x + -3x = 1x 3(1 + 1x) = 2x + 5 (1 * 3 + 1x * 3) = 2x + 5 (3 + 3x) = 2x + 5 Reorder the terms: 3 + 3x = 5 + 2x Solving 3 + 3x = 5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 3x + -2x = 5 + 2x + -2x Combine like terms: 3x + -2x = 1x 3 + 1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 1x = 5 + 0 3 + 1x = 5 Add '-3' to each side of the equation. 3 + -3 + 1x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 5 + -3 1x = 5 + -3 Combine like terms: 5 + -3 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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